Unconditional Superconvergence Analysis of a Crank–Nicolson Galerkin FEM for Nonlinear Schrödinger Equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0390-2
Abstract: A linearized Crank–Nicolson Galerkin finite element method with bilinear element for nonlinear Schrödinger equation is studied. By splitting the error into two parts which are called the temporal error and the spatial error, the unconditional… read more here.
Keywords: nonlinear schr; error; nicolson galerkin; crank nicolson ... See more keywords
A reduced-order extrapolated Crank–Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.08.007
Abstract: Abstract In this paper, by using proper orthogonal decomposition (POD) to reduce the order of the coefficient vector of the classical Crank–Nicolson finite spectral element (CCNFSE) method for the two-dimensional (2D) non-stationary Navier-Stokes equations about… read more here.
Keywords: order; finite spectral; method; crank nicolson ... See more keywords
A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.10.015
Abstract: Abstract In this paper, we develop a Crank-Nicolson ADI quadratic spline collocation method for the approximation of two-dimensional two-sided Riemann-Liouville space-fractional diffusion equation, in which a quadratic spline collocation method combined with ADI approach is… read more here.
Keywords: space; spline collocation; method; quadratic spline ... See more keywords
Computationally efficient complex envelope approximate Crank–Nicolson scheme and its open region problem for anisotropic gyrotropic plasma
Sign Up to like & getrecommendations! Published in 2020 at "Physics of Plasmas"
DOI: 10.1063/5.0024855
Abstract: By incorporating a complex envelope (CE) method, higher order formulation, and approximate Crank–Nicolson (CN) procedure, unconditionally stable complex frequency shifted perfectly matched layer (CFS-PML) implementation is proposed for anisotropic gyrotropic plasma bandpass simulation in open… read more here.
Keywords: open region; gyrotropic plasma; anisotropic gyrotropic; complex envelope ... See more keywords
A Hybrid Crank–Nicolson FDTD Subgridding Boundary Condition for Lossy Thin-Layer Modeling
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DOI: 10.1109/tmtt.2016.2637348
Abstract: The inclusion of thin lossy material layers, such as carbon-based composites, is essential for many practical applications for modeling the propagation of electromagnetic energy through composite structures such as those found in vehicles and electronic… read more here.
Keywords: boundary condition; time; fdtd; crank nicolson ... See more keywords
A Second-Order Crank–Nicolson Leap-Frog Scheme for the Modified Phase Field Crystal Model with Long-Range Interaction
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DOI: 10.3390/e24111512
Abstract: In this paper, we construct a fully discrete and decoupled Crank–Nicolson Leap-Frog (CNLF) scheme for solving the modified phase field crystal model (MPFC) with long-range interaction. The idea of CNLF is to treat stiff terms… read more here.
Keywords: nicolson leap; modified phase; crank nicolson; phase field ... See more keywords